Exponential synchronization for complex dynamical networks with sampled-data

Abstract

This paper is concerned with the problem of exponential synchronization for a kind of complex dynamical networks (CDNs) with time-varying coupling delay and sampled-data. The sampling period considered here is assumed to be time-varying but bounded. A newly exponential synchronization condition is provided by using the Lyapunov method. Based on the condition, a set of sampled-data synchronization controllers is designed in terms of the solution to linear matrix inequalities (LMIs) that can be solved effectively by using available softwares. The derived results are theoretically and numerically proved to be less conservative than the existing results. Two numerical examples are introduced to show the effectiveness and improvement of the given results.